Prime p₀= 1306049723920298639 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 40 2 40 2 16 2 (?)
a_n: 0 2 18 20 60 62 102 104 120 122
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 122
Found by: Theadalus
db: batch=77, k=10, 2 16 2 40 2

SPT(16)	1306047472599236501	0 26 30 56 78 80 110 228 260 378 408 410 432 458 462 488	-2251321062138
SPT(16)	1306047493525508533	0 28 48 64 76 154 160 184 330 354 360 438 450 466 486 514	-2230394790106
SPT(16)	1306047637520413003	0 60 94 154 216 228 234 250 264 280 286 298 360 420 454 514	-2086399885636
STPT(10)	1306048523144629679	0 2 48 50 60 62 72 74 120 122	-1200775668960
STPT(10)	1306049372589905297	0 2 54 56 72 74 90 92 144 146	-351330393342
SPT(16)	1306049637872381993	0 24 30 44 66 86 108 194 210 296 318 338 360 374 380 404	-86047916646
SPT(16)	1306049982273065203	0 28 108 114 136 144 160 180 214 234 250 258 280 286 366 394	258352766564
SPT(16)	1306050312329392429	0 10 42 72 100 120 150 154 198 202 232 252 280 310 342 352	588409093790
STPT(10)	1306050945138733667	0 2 30 32 42 44 54 56 84 86	1221218435028
STPT(10)	1306051261994832047	0 2 30 32 60 62 90 92 120 122	1538074533408
SPT(16)	1306051930094650097	0 20 30 90 102 132 150 176 240 266 284 314 326 386 396 416	2206174351458